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In dealing with veracity of data analytics, fuzzy methods are more and more relying on probabilistic and statistical techniques to underpin their applicability. Conversely, standard statistical models usually disregard to take into account…

Statistics Theory · Mathematics 2019-12-23 Elvira Di Nardo , Rosaria Simone

In the subjective Bayesian approach uncertainty is described by a prior distribution chosen by the statistician. Fuzzy set theory is another way of representing uncertainty. Here we give a decision theoretic approach which allows a Bayesian…

Statistics Theory · Mathematics 2008-12-18 Glen Meeden

A simple Bayesian approach to nonparametric regression is described using fuzzy sets and membership functions. Membership functions are interpreted as likelihood functions for the unknown regression function, so that with the help of a…

Methodology · Statistics 2008-12-18 Jean-François Angers , Mohan Delampady

Fuzzy data, prevalent in social sciences and other fields, capture uncertainties arising from subjective evaluations and measurement imprecision. Despite significant advancements in fuzzy statistics, a unified inferential regression-based…

Methodology · Statistics 2025-06-05 Antonio Calcagnì , Przemysław Grzegorzewski , Maciej Romaniuk

A new approach for uncertainty management for fuzzy, rule based decision support systems is proposed: The domain expert's knowledge is expressed by a set of rules that frequently refer to vague and uncertain propositions. The certainty of…

Artificial Intelligence · Computer Science 2013-04-10 Christoph F. Eick

This contribution reviews critically the existing entropy measures for probabilistic hesitant fuzzy sets (PHFSs), and demonstrates that these entropy measures fail to effectively distinguish a variety of different PHFSs in some cases. In…

Artificial Intelligence · Computer Science 2020-11-18 Bahram Farhadinia , Uwe Aickelin , Hadi Akbarzadeh Khorshidi

This paper discusses a class of uncertain optimization problems, in which unknown parameters are modeled by fuzzy intervals. The membership functions of the fuzzy intervals are interpreted as possibility distributions for the values of the…

Data Structures and Algorithms · Computer Science 2020-09-15 Adam Kasperski , Pawel Zielinski

Real-world phenomena often exhibit vagueness, partial truth, and incomplete information. To model such uncertainty in a mathematically rigorous way, many generalized set-theoretic frameworks have been introduced, including Fuzzy Sets [1],…

Artificial Intelligence · Computer Science 2026-03-18 Takaaki Fujita , Florentin Smarandache

Modeling human ratings data subject to raters' decision uncertainty is an attractive problem in applied statistics. In view of the complex interplay between emotion and decision making in rating processes, final raters' choices seldom…

Applications · Statistics 2021-05-21 Antonio Calcagnì , Luigi Lombardi

This paper presents a Fuzzy Cognitive Map model to quantify implicit bias in structured datasets where features can be numeric or discrete. In our proposal, problem features are mapped to neural concepts that are initially activated by…

Machine Learning · Computer Science 2022-01-14 Gonzalo Nápoles , Isel Grau , Leonardo Concepción , Lisa Koutsoviti Koumeri , João Paulo Papa

We use princiles of fuzzy logic to develop a general model representing several processes in a system's operation characterized by a degree of vagueness and/or uncertainy. Further, we introduce three altenative measures of a fuzzy system's…

Artificial Intelligence · Computer Science 2012-12-12 Michael Gr. Voskoglou

Cognitive diagnosis models have been widely used in different areas, especially intelligent education, to measure users' proficiency levels on knowledge concepts, based on which users can get personalized instructions. As the measurement is…

Computers and Society · Computer Science 2024-03-25 Fei Wang , Qi Liu , Enhong Chen , Chuanren Liu , Zhenya Huang , Jinze Wu , Shijin Wang

Many mathematical models utilize limit processes. Continuous functions and the calculus, differential equations and topology, all are based on limits and continuity. However, when we perform measurements and computations, we can achieve…

Artificial Intelligence · Computer Science 2025-10-20 Mark Burgin

On the basis of network analysis, and within the context of modeling imprecision or vague information with fuzzy sets, we propose an innovative way to analyze, aggregate and apply this uncertain knowledge into community detection of…

Statistics Theory · Mathematics 2024-02-08 Inmaculada Gutiérrez , Daniel Gómez , Javier Castro , Rosa Espínola

The approach described here allows to use the fuzzy Object Based Representation of imprecise and uncertain knowledge. This representation has a great practical interest due to the possibility to realize reasoning on classification with a…

Artificial Intelligence · Computer Science 2012-06-13 Mohamed Nazih Omri

This paper proposes a new fuzzy assessing procedure with application in management decision making. The proposed fuzzy approach build the membership functions for system characteristics of a standby repairable system. This method is used to…

Artificial Intelligence · Computer Science 2017-07-07 Shoele Jamali , Mehrdad J. Bani

Decision-making in real applications is often affected by vagueness, incomplete information, heterogeneous data, and conflicting expert opinions. This survey reviews uncertainty-aware multi-criteria decision-making (MCDM) and organizes the…

Artificial Intelligence · Computer Science 2026-03-23 Takaaki Fujita , Florentin Smarandache

Within the framework proposed in this paper, we address the issue of extending the certain networks to a fuzzy certain networks in order to cope with a vagueness and limitations of existing models for decision under imprecise and uncertain…

Artificial Intelligence · Computer Science 2012-06-06 Abdelkader Heni , Mohamed Nazih Omri , Adel Alimi

The need to measure bias encoded in tabular data that are used to solve pattern recognition problems is widely recognized by academia, legislators and enterprises alike. In previous work, we proposed a bias quantification measure, called…

Machine Learning · Computer Science 2022-01-24 Gonzalo Nápoles , Lisa Koutsoviti Koumeri

Constitutive model discovery refers to the task of identifying an appropriate model structure, usually from a predefined model library, while simultaneously inferring its material parameters. The data used for model discovery are measured…

Machine Learning · Computer Science 2026-01-27 David Anton , Henning Wessels , Ulrich Römer , Alexander Henkes , Jorge-Humberto Urrea-Quintero
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